IR-Singularities in Noncommutative Perturbative Dynamics?

J. M. Grimstrup , H. Grosse , L. Popp , V. Putz , M. Schweda , M. Wickenhauser , R. Wulkenhaar

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classification ✦ hep-th

keywords ir-singularitiesfieldnoncommutativeactionanalyseappearappropriatedegrees

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We analyse the IR-singularities that appear in a noncommutative scalar quantum field theory on $\mathcal{E}_4$. We demonstrate with the help of the quadratic one-loop effective action and an appropriate field redefinition that no IR-singularities exist. No new degrees of freedom are needed to describe the UV/IR-mixing.

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IR-Singularities in Noncommutative Perturbative Dynamics?

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